论文标题
可逆性作为量子动态图的马克维亚性的见证
Invertibility as a witness of Markovianity of the quantum dynamical maps
论文作者
论文摘要
量子开放系统过程的马尔可夫是一个当前兴趣相当大的话题。通常，假定可逆性对于开放量量子系统动态图的马克维亚性是非必需的。然而，在本文中，我们区分了一类具有物理上重要的动态图（过程），而可逆性是马克维亚语的必要条件。由于每个量子状态层析成像直接提供了有关地图可逆性的信息，因此对于确定对考虑的动态过程类别的非马克维亚性，无需优化过程。在此基础上，我们能够提供一个系统的见解，并区分各种量子马尔可道的相互关系。值得注意的是，对于被考虑的动态图类别中的过程，在动态图的可划分，可逆性和马克维亚度之间允许各种关系。
Markovianity of the quantum open system processes is a topic of the considerable current interest. Typically, invertibility is assumed to be non-essential for Markovianity of the open-quantum-system dynamical maps. Nevertheless, in this paper we distinguish a class of physically important dynamical maps (processes) for which invertibility is a necessary condition for Markovianity. Since every quantum-state tomography directly provides information on invertibility of the map, no optimization procedure is necessary for determining non-Markovianity regarding the considered class of dynamical processes. On this basis we are able to provide a systematic insight and to distinguish mutual relations of the various approaches to quantum Markovianity. Notably, for the processes out of the considered class of dynamical maps, various relations are allowed between divisibility, invertibility and Markovianity of the dynamical maps.
